THE NUMBER 222+1 HAS EXACTLY ONE PRIME FACTOR GREATER THAN 1000. F...
7.
The number
2
22
+
1
has exactly one prime factor greater than 1000. Find it.
Solution:
(2
1
)2
(2
1
2
)(2
1
2
)2113
*
1985
2113
*
397
*
5
1
2
22
+
=
11
+
2
−
12
=
11
+
+
6
11
+
−
6
=
=